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Finding the Third Proportional to 775.69 and 1,829.44

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Solution

The third proportional to 775.69 and 1,829.44 is: 4,314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.69 : 1,829.44 = 1,829.44 : x
  2. Step 2: Convert to fraction form
    775.69/1,829.44 = 1,829.44/x
  3. Step 3: Cross multiply
    775.69x = 1,829.44 × 1,829.44
  4. Step 4: Simplify right side
    775.69x = 3,346,841.57
  5. Step 5: Solve for x
    x = 3,346,841.57/775.69
  6. Step 6: Final answer
    x = 4,314.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.